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Chapter 3: Q. 25 (page 316)

In the following exercises, solve each number word problem.

One number is six more than the other. Their sum is 42. Find the numbers.

Short Answer

Expert verified

The number is 18.

Step by step solution

01

Step 1. Given Information

We are given that one number is six more than the other and theri sum is 42.

We have to find the numbers.

02

Step 2. Forming the equation  

Let one number be x,

The other number will bex+6

So, the equation will be,

x+x+6=422x+6=42

03

Step 3. Solving the equation 

Subtracting 6from both sides, we get

2x+6=422x+6-6=42-62x=36

Dividing by 2,

x=362x=18

Hence, the number is 18.

04

Step 4. Checking the solution  

Putting the value of xin the equation, we get

x+x+6=4218+18+6=4242=42LHS=RHS

Hence the solution is correct.

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